Range and group monotonicity of operators

zbMath0989.47022MaRDI QIDQ5936404

K. C. Sivakumar

Publication date: 7 August 2002

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

group inversegroup monotoneoperators on infinite dimensional Hilbert spacesrange monotonerelationships between group, range and weak monotonicity

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Positive linear operators and order-bounded operators (47B65)

Related Items (3)

Nonnegative Moore--Penrose inverses of Gram operators ⋮ Weak monotonicity of \(A\) versus \(\{1\}\)-inverses nonnegative on the range space of \(A\) ⋮ A new characterization of nonnegativity of Moore-Penrose inverses of Gram operators

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